Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
Answer:
2x club member ticket = 1x non-club member ticket
Answer:
94 degrees
Step-by-step explanation:
Basically the question is asking to find the angle of the arc AC created by the inscribed angle ABC.
The angle of the arc of an inscribed angle is twice the value of the angle creating it.
Because the distance from the opposite side of the circle is twice longer than coming from the center to create the same arc.
So, an inscribed angle of 47 degrees will create a 94 degrees arc on the circle circumference.
Answer:
147°
Step-by-step explanation:
106°+139°+126°+141°+112°+129°+x =900°
753°+x = 900°
x = 900°-753°
x= 147° (sum of the interior angles of a heptagon=900°)
Answer:
d=-8
Step-by-step explanation:
-8 × -4=+32 ....always remember a positive number and negative number equals a negative number and negative number times a negative number is a positive number
